Stability and instability in parametric resonance and quantum Zeno effect

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Quantum Zeno Effect, Instability, and Decay

Quantum Dynamics, encompassing all change in a Quantum system, is formulated in terms of states and their changes in time. In most cases, this evolution is given by either the Schroëdinger equation, or its equivalent in Heisenberg formulation. In addition to motion, it also describes transitions like the de-excitation of an atom accompanied by the emission of a photon, and like the photoelectri...

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Quantum Zeno effect: Quantum shuffling and Markovianity

The behavior displayed by a quantum system when it is perturbed by a series of von Neumann measurements along time is analyzed. Because of the similarity between this general process with giving a deck of playing cards a shuffle, here it is referred to as quantum shuffling, showing that the quantum Zeno and anti-Zeno effects emerge naturally as two time limits. Within this framework, a connecti...

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Zeno effect in parametric down-conversion.

The Zeno effect refers to the inhibition of the isolated temporal evolution of a dynamical system when the observation of such evolution is attempted [1]. This observation is usually described by frequent measurements on the system performed in order to discover whether the initial state has changed or not. In the limit of very frequent measurements, continuous observation, or arbitrary high re...

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Quantum Zeno and Anti-Zeno Effect without Rotating Wave Approximation

The effect of the anti-rotating terms on the short-time evolution and the quantum Zeno (QZE) and anti-Zeno (AQZE) effects is studied for a two-level system coupled to a bosonic environment. A unitary transformation and perturbation theory are used to obtain the electron self-energy, energy shift and the enhanced QZE or the AQZE, simultaneously. The calculated Zeno time depends on the atomic tra...

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ژورنال

عنوان ژورنال: Physics Letters A

سال: 2001

ISSN: 0375-9601

DOI: 10.1016/s0375-9601(00)00850-1